# Krkonose CZ

Tourist's rod on the tourist route in the Krkonose was 1/5 of its length into the ground. Snow fell in winter and 1/3 of the length of the rod remained above the snow. Find the height of the snow if the length of the part above the snow is 32 cm greater than the length of the part of the rod in the ground.

Correct result:

s =  112 cm

#### Solution:

a = 4/5 x
b = 1/5 x
1/3 x = a-s
a-s = 32 + b

a = 4/5•x
b = 1/5•x
1/3•x = a-s
a-s = 32 + b

5a-4x = 0
5b-x = 0
3a-3s-x = 0
a-b-s = 32

a = 192
b = 48
s = 112
x = 240

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